Search a number
-
+
9893936 = 241323659
BaseRepresentation
bin100101101111…
…100000110000
3200121122221002
4211233200300
510013101221
6552021132
7150045203
oct45574060
920548832
109893936
115648508
1233917a8
132085500
14145793a
15d0680b
hex96f830

9893936 has 30 divisors (see below), whose sum is σ = 20763180. Its totient is φ = 4565184.

The previous prime is 9893899. The next prime is 9893951. The reversal of 9893936 is 6393989.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 875 + ... + 4533.

It is an arithmetic number, because the mean of its divisors is an integer number (692106).

Almost surely, 29893936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9893936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381590).

9893936 is an abundant number, since it is smaller than the sum of its proper divisors (10869244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9893936 is a wasteful number, since it uses less digits than its factorization.

9893936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3674 counting only the distinct ones).

The product of its digits is 314928, while the sum is 47.

The square root of 9893936 is about 3145.4627640460. The cubic root of 9893936 is about 214.6790668780.

The spelling of 9893936 in words is "nine million, eight hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 3659 7318 14636 29272 47567 58544 95134 190268 380536 618371 761072 1236742 2473484 4946968 9893936